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4MA1/1F Nov 2021, Question 12: Describing Transformations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

Using the grid showing shapes P and Q, identify the single transformation taking P to Q, then draw the reflection of P in the line x = 5 and label it R.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 3 marks

State the one transformation, with all its details, that carries shape P onto shape Q.

  1. 1Each side of Q is 3 times the matching side of P
  2. 2Lines through matching corners meet at (0, 0)
  3. 3Enlargement, scale factor 3, centre (0, 0)

AnswerEnlargement, scale factor 3, centre (0, 0)

Part (b) · 2 marks

Draw shape P's mirror image across the line x = 5 on the grid and name it R.

  1. 1x = 5 is a vertical mirror line; y-values stay the same
  2. 2x = 3 is 2 left of the line, so it goes to x = 7
  3. 3Likewise x = 2 → x = 8 and x = 1 → x = 9
  4. 4R has vertices (7, 2), (7, 4), (8, 3), (9, 3), (9, 2)

AnswerShape with vertices at (7, 2), (7, 4), (8, 3), (9, 3), (9, 2)

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